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MHT CET20228 Aug 2022Morning ShiftMathematicsMatricesActual

If A= [ array ccc 1 & -1 & 1 0 & 2 & -3 2 & 1 & 3 array ] and B= adj A, C=54 , then | adj B| |C| =

Options

  1. A5
  2. B25
  3. C-1
  4. D1

Correct answer

D. 1

Step-by-step solution

aligned & A= | array ccc 1 & -1 & 1 0 & 2 & -3 2 & 1 & 0 array | & |A|=1 (0+3)+1 (0+6)+1 (0-4)=5 & B= adj A & |B|=| adj A|=|A|^2=25 & | adj B|=|B|^2=625 & C=5 A & |C|=|5 A|=5^3|A|=125 5=625 & now | adj B| |C| = 625 625 =1 aligned

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